Further Properties of Tsallis Entropy and Its Application [PDF]
Entropy, 2023 The entropy of Tsallis is a different measure of uncertainty for the Shannon entropy. The present work aims to study some additional properties of this measure and then initiate its connection with the usual stochastic order. Some other properties of the
Ghadah Alomani +2 more
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On Conditional Tsallis Entropy [PDF]
Entropy, 2021 There is no generally accepted definition for conditional Tsallis entropy. The standard definition of (unconditional) Tsallis entropy depends on a parameter α that converges to the Shannon entropy as α approaches 1.
Andreia Teixeira +2 more
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2D Tsallis Entropy for Image Segmentation Based on Modified Chaotic Bat Algorithm [PDF]
Entropy, 2018 Image segmentation is a significant step in image analysis and computer vision. Many entropy based approaches have been presented in this topic; among them, Tsallis entropy is one of the best performing methods.
Zhiwei Ye, Juan Yang, Mingwei Wang
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Kernel Estimation of Cumulative Residual Tsallis Entropy and Its Dynamic Version under ρ-Mixing Dependent Data [PDF]
Entropy, 2021 Tsallis introduced a non-logarithmic generalization of Shannon entropy, namely Tsallis entropy, which is non-extensive. Sati and Gupta proposed cumulative residual information based on this non-extensive entropy measure, namely cumulative residual ...
Muhammed Rasheed Irshad +3 more
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Tsallis Entropy in MV-Algebras
MathematicsWe deal with Tsallis entropy in MV-algebraic dynamical systems. We prove that Tsallis entropy is a submeasure and that it is invariant under isomorphisms.
Giuseppina Gerarda Barbieri +1 more
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Cumulative Residual Tsallis Entropy-Based Test of Uniformity and Some New Findings
Mathematics, 2022 The Tsallis entropy is an extension of the Shannon entropy and is used extensively in physics. The cumulative residual Tsallis entropy, which is a generalization of the Tsallis entropy, plays an important role in the measurement uncertainty of random ...
Mohamed Said Mohamed +2 more
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A Direct Link between Rényi–Tsallis Entropy and Hölder’s Inequality—Yet Another Proof of Rényi–Tsallis Entropy Maximization [PDF]
Entropy, 2019 The well-known Hölder’s inequality has been recently utilized as an essential tool for solving several optimization problems. However, such an essential role of Hölder’s inequality does not seem to have been reported in the context ...
Hisa-Aki Tanaka +2 more
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Susceptible-Infected-Susceptible Epidemic Discrete Dynamic System Based on Tsallis Entropy [PDF]
Entropy, 2020 This investigation deals with a discrete dynamic system of susceptible-infected-susceptible epidemic (SISE) using the Tsallis entropy. We investigate the positive and maximal solutions of the system. Stability and equilibrium are studied. Moreover, based
Shaher Momani +2 more
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Tsallis Entropy Theory for Modeling in Water Engineering: A Review
Entropy, 2017 Water engineering is an amalgam of engineering (e.g., hydraulics, hydrology, irrigation, ecosystems, environment, water resources) and non-engineering (e.g., social, economic, political) aspects that are needed for planning, designing and managing water ...
Bellie Sivakumar +2 more
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An Expression for Velocity Lag in Sediment-Laden Open-Channel Flows Based on Tsallis Entropy Together with the Principle of Maximum Entropy [PDF]
Entropy, 2019 In the context of river dynamics, some experimental results have shown that particle velocity is different from fluid velocity along the stream-wise direction for uniform sediment-laden open-channel flows; this velocity difference has been termed ...
Zhongfan Zhu +3 more
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